Not if it is during regular season. The TSSAA does not allow tie breaking situations except for in the play offs.
That's my point, the tie was during the district championship, which led to PKs, so if I'm reading you right, it would be a 1-0 loss, not a tie as listed by eurosport.
You are correct, during playoffs it's counted as a win/loss. During season it stays as a tie. Europsports is not the most realiable source.